Solve the initial value problem. dx 2. dt + 4tx=t³ In t +4, The solution is x(t) = Fo - 6 In (t) x(1) = 0 1 -1² + 36 2 4. 47 + 3t 36t4

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Q: Solve for the required value of x using both Improved Euler's and RK4 method in an excel sheet. Make…

A: Given- dxdt = -12xt, x0 = 1 with h = 0.01 To find- x0.3   Method Used:  Improved Euler's Method-…

Q: Linear First-Order D.E. | 6. Solve the equation: t2 dx – (tª In t + 1 - 3tx) dt = 0, x(1) = 0. %3D

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Q: dx 2. dt x(0.5) = 1, solve for x(1) when h = 0.1 2(t+1)

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Q: Solve the IVP dx -16 dt -32 X, x(0) = 4-181 x(t) = [22]

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Q: Solve the following using exponential shift (D+1)2 y=e-x sec2 xtanx D2(D-3)2 y=5e3x

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Q: Q2// find the general solution (x³ + 2y³ + x²y)dx – (x³ + 2xy²)dy = 0 %D

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Q: π/2 g(x) = 2x + 4 sin² x g(t) dt. - n 0

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Q: r3/4 5. Solve for x: 32t dt = t3 dt. 1/3 e

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Q: Solve each of the equations. Integrating Factors (y² – xy) dx + (2x² – xy) dy = 0; y (1) = 1

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Q: (x²y)dx + (x³ + 2y³)dy = 0 ||

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Q: 4х, th dt Vhat is the

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Q: Part II Solve the initial value problem. b. 3y(x?- 1) dx+ ( x³+ 8y– 3x) dy=0 y (0) = 1

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Q: +x = 8 (t – 2), x (0) = 8, (0) = 3. da Solve the initial value problem dt? dt Important: Use H for…

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